On the stability of input-output operators in nonlinear systems with multiple attractors

I. G. Kevrekidis; C. Frousakis; V. Manousiouthakis

doi:10.23919/acc.1989.4790354

On the stability of input-output operators in nonlinear systems with multiple attractors

I. G. Kevrekidis, C. Frousakis, V. Manousiouthakis

Chemical & Biological Engineering

Research output: Contribution to conference › Paper › peer-review

Abstract

The input-output stability of attractors of nonlinear systems to perturbations of finite duration in time is examined. In a low-parameter family of such perturbations, and using techniques from the theory of dynamical systems, a boundary value problem is formulated for the location of critical perturbations marking the boundary of stability. An intricate pattern of stability and instability is found in a simple illustrative example (the continuous stirred-tank reactor with a single reaction).

Original language	English (US)
Pages	1102-1104
Number of pages	3
DOIs	https://doi.org/10.23919/acc.1989.4790354
State	Published - 1989
Event	Proceedings of the 1989 American Control Conference - Pittsburgh, PA, USA Duration: Jun 21 1989 → Jun 23 1989

Other

Other	Proceedings of the 1989 American Control Conference
City	Pittsburgh, PA, USA
Period	6/21/89 → 6/23/89

All Science Journal Classification (ASJC) codes

General Engineering

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10.23919/acc.1989.4790354

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title = "On the stability of input-output operators in nonlinear systems with multiple attractors",

abstract = "The input-output stability of attractors of nonlinear systems to perturbations of finite duration in time is examined. In a low-parameter family of such perturbations, and using techniques from the theory of dynamical systems, a boundary value problem is formulated for the location of critical perturbations marking the boundary of stability. An intricate pattern of stability and instability is found in a simple illustrative example (the continuous stirred-tank reactor with a single reaction).",

author = "Kevrekidis, {I. G.} and C. Frousakis and V. Manousiouthakis",

year = "1989",

doi = "10.23919/acc.1989.4790354",

language = "English (US)",

pages = "1102--1104",

note = "Proceedings of the 1989 American Control Conference ; Conference date: 21-06-1989 Through 23-06-1989",

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TY - CONF

T1 - On the stability of input-output operators in nonlinear systems with multiple attractors

AU - Kevrekidis, I. G.

AU - Frousakis, C.

AU - Manousiouthakis, V.

PY - 1989

Y1 - 1989

N2 - The input-output stability of attractors of nonlinear systems to perturbations of finite duration in time is examined. In a low-parameter family of such perturbations, and using techniques from the theory of dynamical systems, a boundary value problem is formulated for the location of critical perturbations marking the boundary of stability. An intricate pattern of stability and instability is found in a simple illustrative example (the continuous stirred-tank reactor with a single reaction).

AB - The input-output stability of attractors of nonlinear systems to perturbations of finite duration in time is examined. In a low-parameter family of such perturbations, and using techniques from the theory of dynamical systems, a boundary value problem is formulated for the location of critical perturbations marking the boundary of stability. An intricate pattern of stability and instability is found in a simple illustrative example (the continuous stirred-tank reactor with a single reaction).

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U2 - 10.23919/acc.1989.4790354

DO - 10.23919/acc.1989.4790354

M3 - Paper

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EP - 1104

T2 - Proceedings of the 1989 American Control Conference

Y2 - 21 June 1989 through 23 June 1989

ER -

On the stability of input-output operators in nonlinear systems with multiple attractors

Abstract

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